Equations of the moduli of pointed curves in the infinite Grassmannian

Abstract

The main result of this paper is the explicit computa- tion of the equations defining the moduli space of triples (C,p,�), where C is an integral and complete algebraic curve, p a smooth rational point anda certain isomorphism. This is achieved by introducing algebraically infinite Grassmannians, tau and Baker- Ahkiezer functions and by proving an Addition Formula for tau functions.